{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "40eed210",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from numpy import genfromtxt\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ae8353f5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 载入数据\n",
    "data = np.genfromtxt(\"data.csv\",delimiter=\",\")\n",
    "x_data = data[:,0,np.newaxis]\n",
    "y_data = data[:,1,np.newaxis]\n",
    "# x_data = data[:,0]\n",
    "# y_data = data[:,1]\n",
    "plt.scatter(x_data,y_data)\n",
    "plt.show()\n",
    "# print(x_data.shape)\n",
    "# print(x_data)\n",
    "# print(y_data.shape)\n",
    "# print(y_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0db1ec8",
   "metadata": {},
   "source": [
    "np.array()和np.mat()区别\n",
    "1.生成数组所需格式不同\n",
    "    mat可以从字符串或列表中生成；array只能从列表中生成\n",
    "2.生成的数组计算方式不同\n",
    "    array生成数组，用np.dot()表示矩阵乘积，*号或np.multiply()表示点乘\n",
    "    mat生成数组，*和np.dot()相同，点乘只能用np.multiply()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f8a1e055",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(100, 1)\n",
      "(100, 1)\n",
      "(100, 1)\n"
     ]
    }
   ],
   "source": [
    "print(np.mat(x_data).shape)\n",
    "print(np.mat(y_data).shape)\n",
    "# 给样本添加偏置项\n",
    "X_data = np.concatenate((np.ones((100,1)),x_data),axis=1)\n",
    "print(X_data.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6cbb4485",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 1.         32.50234527]\n",
      " [ 1.         53.42680403]\n",
      " [ 1.         61.53035803]]\n"
     ]
    }
   ],
   "source": [
    "print(X_data[:3])"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "5b8eec6d",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e625f540",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 标准方程法求解回归参数\n",
    "def weights(xArr,yArr):\n",
    "    xMat = np.mat(xArr)\n",
    "    yMat = np.mat(yArr)\n",
    "    xTx = xMat.T*xMat #矩阵乘法\n",
    "    #计算矩阵的值，如果值为0，说明该矩阵没有逆矩阵\n",
    "    if np.linalg.det(xTx) == 0.0:#linalg.det()函数返回指定数组的行列式\n",
    "        print(\"This matrix cannot do inverse\")\n",
    "        return\n",
    "    #xTx.I为xTx的逆矩阵\n",
    "    ws = xTx.I*xMat.T*yMat\n",
    "    return ws"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e810e4f2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[7.99102098]\n",
      " [1.32243102]]\n"
     ]
    }
   ],
   "source": [
    "ws = weights(X_data,y_data)\n",
    "print(ws)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "eea91a14",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD4CAYAAAAXUaZHAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAmX0lEQVR4nO3de7yVY/7/8denHQlDx/FNSQxpiMjOtH8MKUzm2xczYZphaky+8UWhGYecyiFy7IShcSpTjjHJIYqapEVKqXTSlCjRSRmkXXtfvz+utdnt9mHtdbrve6338/Hosfe61+m6V3t97uv+3Nf1ucw5h4iI5JY6QTdARETST8FdRCQHKbiLiOQgBXcRkRyk4C4ikoPqBt0AgCZNmrhWrVoF3QwRkUiZM2fOBudc08ruC0Vwb9WqFbNnzw66GSIikWJmq6q6T2kZEZEcpOAuIpKDagzuZvaYma0zs4Xltt1tZkvMbL6ZvWhmDcrdN8DMlpvZUjP7VYbaLSIi1Uik5/4E0LXCtslAW+fcUcAyYACAmR0O9ACOiD/nQTMrSFtrRUQkITUGd+fcdGBThW1vOOd2xG++C7SI/34m8LRzbptzbiWwHDguje0VEZEEpCPn/mfgtfjvzYHPyt23Or5tF2bWx8xmm9ns9evXp6EZIiJSJqXgbmbXAzuAsbV9rnNulHOu0DlX2LRppcM0RSSiYjG44w7/U4KR9Dh3M/sT0A3o4n6sG7wGOKDcw1rEt4lInojFoEsXKC6G3XeHN9+EoqKgW5V/kuq5m1lX4GrgDOfcd+XuegnoYWb1zOwg4FBgVurNFJGomDbNB/aSEv9z2rSgW5Sfauy5m9lTQCegiZmtBgbiR8fUAyabGcC7zrmLnXMfmdmzwCJ8uuZS51xJphovIuHTqZPvsZf13Dt1CrpF+cnCsBJTYWGhU/kBkdwRi/kee6dOSslkkpnNcc4VVnZfKGrLiEhuKSpSUA+ayg+IiOQgBXcRkRyk4C4iNdK49ehRzl1EqhXUuHVdlE2NgruIVKuyceuZDraaCJU6pWVEpFpl49YLCrI3bl0ToVKn4C4i1Soq8j3nW2/NXg86iANK1n3zDVx7LUydmpGXV1pGRGqU7XHrZQeUnMy5OwdPPw1//St8/jnsuSecfHLa30bBXURCKScnQi1YAJddBtOnQ/v28PzzGdtJpWVERDJt82a4/HI45hhYuBAeeghmzcro0Us9dxGRTCkthSee8Ln1DRvg4ov9xYvGjTP+1gruIiKZMHs2XHrpjz30SZN8KiZLlJYREUmnDRugTx847jhYtQpGj4YZM7Ia2EHBXUQkPUpK4MEHoXVreOwxuPJKWLoUevaEOtkPtUrLiIikasYM6NsX5s2Dzp1hxAg44ohAm6Seu4hIstauhT/+EX75S5+OefZZmDIl8MAOCu4iIrW3fTvce69PwTz7LFx3HSxZAuecA37p0cApLSMiUhtTpkC/frB4Mfz61zB8OBxySNCt2oV67iIiifj0Uzj7bDj1VNi2DSZOhFdeCWVgBwV3EZHqff893HYbtGkDr77qJyF99BF06xZ0y6qltIyISFVeftmXDVixArp393n2Aw8MulUJUc9dRKSi5ct9z/x//sfXHJ482Rf5ikhgBwV3EZEfffstXH+9H8r4r3/BPffAhx/CKacE3bJaU1pGRMQ53zPv3x9Wr4bzz4e77oJmzYJuWdLUcxeR/LZoke+Zn3uur9b49tvw5JORDuyg4C4i+WrLFt9Tb9cOPvgAHnjAV3I84YSgW5YWSsuISH4pLYV//AOuvhrWrYMLL4TBg6Fp06BbllYK7iISSbFYEmuszp3rl7mbOdOX5J04ETp0yGArg6PgLiKRE4tBly5QXOxHKr75Zg0BfuNGuOEGePhhaNLEl+Tt1SuQUrzZkrt7JiI5a9o0H9hLSvzPadOqeGBJiQ/orVvDqFG+LO+yZXDBBTkd2EHBXUQiqFMn32MvKPA/O3Wq5EGxmE+9XHwxtG3rUzLDh0ODBtltbECUlhGRyCkq8qmYSnPuX37pF6R+4gnYf38YNw569AhNKd5sUXAXkUgqKqoQ1Ldv98vc3XQTbN0K11zj8+x77x1YG4Ok4C4i0Td1qs+nf/QRnHaaX+busMOCblWglHMXkehavdqnXDp3hm++gRdfhEmT8j6wQwLB3cweM7N1Zraw3LZGZjbZzD6O/2wY325mNsLMlpvZfDNrn8nGi0ie2rYNhgzxQXzCBBg40K+MdNZZeZdbr0oiPfcngK4Vtl0LvOmcOxR4M34b4HTg0Pi/PsDf0tNMEZG4SZPgyCNhwACfglm0CAYNgvr1g25ZqNQY3J1z04FNFTafCYyO/z4aOKvc9jHOexdoYGbRrr4jIuGwYgWceSacfrq//dprPg1z0EHBtiukks257+ecWxv//Qtgv/jvzYHPyj1udXybiEhyvvvOp10OP9yPfxwyBBYsgK4VEwpSXsqjZZxzzsxcbZ9nZn3wqRtatmyZajNE8k5StVWixDn45z/hyith1Sr4/e/h7ruhufqLiUg2uH9pZs2cc2vjaZd18e1rgAPKPa5FfNsunHOjgFEAhYWFtT44iOSzWtdWiZolS6BfP7+8Xdu2/ih20klBtypSkk3LvAT0iv/eC5hQbnvP+KiZjsCWcukbEUmThGurRM1//sOa86+m5Igj2RGb5csFzJ2rwJ6ERIZCPgXEgMPMbLWZ9QaGAKea2cfAKfHbAK8CK4DlwN+BSzLSapE8l1BtlShxDsaNo/jgw2g+9m7GuD/ysx3LiHXoB3U11zIZNX5qzrnfV3FXl0oe64BLU22UiFSv2toq1Qhlnn7+fF9j/e232dj8WM6u8wIzSztSsN23NTTtjBgdEkUiqqy2SiwGd9xRc8AOXZ7+q698HZgHH4SGDWHUKD75+Z+Ze1oBBcU5ckYSIAV3kQirTcCuLE8fSHAvLYXHH/eVGzdt8iV5b70VGjWiiOTOSGRXCu4iEVabgF2Wpy8Oslc8a5ZPwbz/Phx/PNx/Pxx99E4P2aXaoyRFwV0kYkaNgvHjoXv32gXsZPP0FSWVt1+/3pcLePRR+K//giefhPPOUx2YDFJwF4mQUaPgoov872+84VeQq03ATrVXXOu8/Y4d8NBDcOONvmrjX/7i8+z77JN8IyQhCu4iETJ+/K63+/TJXhqjVnn7t9/2KZj58/0RYcQIX0JAskL13EUipHv36m9nWkLj6z//HM4/H0480Y+Ief55P9NUgT2r1HMXiZA+ffzPspx72e1sqSpvH4vB9CnF9PhyOAeOvsV362+4wY+I2Wuv7DZSADA/7yhYhYWFbvbs2UE3Q0SSEIvB4E6Tuae4L21Yyqbju9HoiaFwyCFBNy3nmdkc51xhZfcpLSMiyVu1iob/252Xi0+jLjs4o87LPPzfExXYQ0DBXURqb+tWuOUWaNOGQ5e/xsC6g2lXZyFT6v23ZpWGhHLuIpI452DiRLjiCli5Es45h4J77qHrmpbsMU2zSsNEwV0kggIpAPbxx3D55X55u7JVkTp3BqCopYJ62Ci4i0RM1guAffstDB4M994L9erBfff58eu77ZbBN5VUKecuEjFZW6jDOXjmGWjTxped7NEDli3zy94psIeegrvklLLyt7FY0C3JnKws1LFwoU+59OgBTZrAjBkwerSvCyORoLSM5IzQ1SvPkHQVAKvUli0waBCMHOnrvzz4oJ8pVVCQxjeRbFBwl5wRmnrlWZD2srilpb5S49VX+wqOffrAbbf5XrtEkoK75IxQ1CuPog8+8BdIYzHo2BFefRWOPTboVkmKFNwlZ2Q0XZGLNm6E66/3dYSbNvWrI/XsCXV0KS4XKLhLTgnrKj6hWpi6pAT+/ncf2Lds8WPXBw2CffcNuGGSTgruIhkWqgu9M2f6FMzcuf5IM3IktG0bUGMkk3T+JZJhWRuXXoVYDEZc9wXrft3Lr1u6bh08/TS89ZYCew5Tz10iJVTpjQQFeaH33be382KX+7lh+0D24HvW/PFamj94Pey9d43PjeJnLT9ScJfICFV6owqVBcTALvS+9RY/+31f7tq+iNfoSv86w+n589YMqDmuR+KzluopLSOREXR6oyZlAfHGG/3PwGbJfvYZnHsudOnCT+pu5ZzdJ/A/dV5lVb3WCZ81hP2zlpqp5y6REUR6ozapiaomUSXbC651WmTbNl/ca/BgPynp5pvZ46qr6D+vPu1r8zpozkAuUHCXyMhGeqN8QIXaBeWqAmIyM2drfUB49VU/pHH5cvjtb32Qb9UKSG54qOYMRJ+Cu0RKJsexVwyovXrVLihXFRCT6QUnfED49799lcaJE+Gww+D11+G002q349Xsj4J6dCm4i8RVDKhQ+6BcWUBMphdc4wHhu+98+cu77/bld++6y/fcd9+95hcPgEbeZJ8554JuA4WFhW727NlBN0PyXGWpEPBBqXFjP1s/m8Gp0oDoHLzwAvTvD59+Cn/4gw/szZtnp1FJ0MibzDGzOc65wsruU89dIidTvcDKetixmI+hgwb5Hn02g1P5s4BYDBY8u5hz3+lHg/enwFFH+SqOJ56Y+YakKJ+qdYaJgrtESqZ7gRUDapcu8P33vsMM6QtOtTlAzZryNe+efiuX7RjGN+zNyv4jOejOi6FuNL6+GnkTjGj8dYjEZbMXWPZeZYHdLD3BKeEDlHMwdiyHX3IVx+34gkfozY11bqdfk58yIELfXI28CUaE/kREstsLLP9edevCBRf4iripBqeEDlDz5kHfvn55u5934MQVE5i547jI9nw18ib7FNwlUrLZCywqgmHDYPx46N7dL06UDtUeoDZtgptugr/9DRo1gkceYe8LLuD8R+pQP94OBUlJhEbLiFQhk/n9XXLuJSXw2GNw3XU+wF9yCdxyCzRsqNEmUqXqRsukVFvGzK40s4/MbKGZPWVme5jZQWb2npktN7NnzCycA29FapDJ+ipFRTBgQDxIv/eeX96uTx9o08YvezdyJDRsmPF2SO5KOribWXOgH1DonGsLFAA9gDuBoc65Q4CvgN7paKgELxbz82YCK4iVZWXpk4KCDOX3162D3r19YF+zBsaOhenToV27SttRp46/qNu4cZrbITkp1aqQdYH6ZlYX2BNYC3QGno/fPxo4K8X3kBAITcXDLCrL7996a2KpkIQPfjt2+J5569YwZgxcdRUsXeonJJnt8jpluf+CAl8P7Ior8uPzl9QkfUHVObfGzO4BPgW2Am8Ac4DNzrkd8YetBiqdOmdmfYA+AC1btky2GZIl6RqCmM1p6Ol4r0RHeSScF58+nW//fBl7/XsBmzucSoMxI3wqpobX2bjRB/bSUk0EksSkkpZpCJwJHATsD+wFdE30+c65Uc65QudcYdOmTZNthmRJOlIU2ez9Z/tMo8a8+Jo1vmd+0klsXLGF7nVeYP8FrxP7qk1Cr5PxFJHknFTSMqcAK51z651z24EXgOOBBvE0DUALYE2KbZQQqG2KojLZvDCY7YuQVQbf4mJf++Www+CFF5jR+SaOsMW8UPobirfbD+0qS8U0blz566Tj85f8kso490+Bjma2Jz4t0wWYDUwFzgaeBnoBE1JtpIRDqhNRgpqAlI2ebqXj719/Hfr1g2XL4IwzYOhQCr48mJIuUFCuXRVTMcOGVV6krDaff7IpKVVvzCHOuaT/ATcDS4CFwJNAPeBgYBawHHgOqFfT6xx77LFO8sPMmc7dfrv/mUvvtZOVK5076yznwLlDDnHulVeqbdfttztXUOAfXlDgb6di5kzn6tf3r1W/fuL7n+zzJDjAbFdFXE1phqpzbiAwsMLmFcBxqbyu5K5sTkPP+pT3rVt9CmbIED9u8fbbfWneevWqbVe6zzKSvfit6o25ReUHJHCRTwU4By+95McofvIJ/O53fhGNAw5I6OnpLqmQ7MFC1Rtzi4K7BCryU+uXLfMrIE2aBEccAW+9BSefXOuXSedZRrIHC1VvzC0K7hKoyKYCvvkGbrsN7rsP6teHoUPh0kv9knchkOzBQtUbc0eqM1RFUhLU+O2kSyk4B08/7Sce3XknnHces8ct446tVxCbHUxgz7eyEJIY9dwlUEGkApJOBS1Y4Gus/+tf0L49PPccMYoCTStVty+Rv5YhKVHPXQK3U4XELKj1BKfNm31e/ZhjfIB/6CGYNQuKigKv2FjV++djLSDZmYK7REI6Uw8Jp4JKS+Hxx32Br5EjfUneZcvgoov8k2vzWmlW04zWoA86EjylZST00j2iJqFU0OzZcNllvtZ6UZEfDdO+/Q/tKf/coNNKlc1o1bBGUXCX0MvEiJoqR4Vs2OBXQ3rkEfjpT2H0aDj/fD8piaoPNNnMaVf8PDZu9Gmt8jSsURTcJfSy0gstKYGHH4YbboCvv/YTkgYOhH333elhYRi6mejnoWGN+U3BXUIv2V5owqNF3nnHp2DmzWPLsZ159oQRtD3nCIr23fWhYUh3qFcuidAC2ZKTKkufQIWAuHYtXHMNPPkktGjB0ovv45jbzqZ4u1Wb29cQQwmL6hbIVs9dclLF9MmYMT59XlwMe+62nfn/O5JWTwyCbdt8jv2663hhxF4Ub6855VJTuqO2wV8HC8kEBXfJSRXTJ+B/71QyhREl/Wg1cjGcfjoMHw6HHlrpc1JZbSrRkT2Rr60joaVx7pKTKq5cdOFpn/KsO4cpnMoeto0ld70Er7zyQ2Cv7DnZWG0q2+PRVaogf6jnnoN0mu8VFUHRMd/DvffC4MEcvRv865e3Uu/6v9Kx0x5VP6fCZ1abz7O2vf9sXqDVWUJ+UXDPMfoCl/Pyy75swIoV0L07Bffey0kHHlirl4jFfMDdvt0XfCzrWVcV7Gs7kiWbI1/CMIxTskfBPcfoCwwsX+7Hqb/yiq/e+MYbcOqpSb3UmDH+c4Qf17p+/fXqD561HV+erfHoYRjGKdmjnHuOCarWSSh8+62fhHTEEb5y4z33wIcfJh3YK/P557XPkYclz52OawoSHeq555i8nODiHIwf79cr/ewzXy7grrugWbOUX7pnT187rKy327u3LwyZaO83bGkyzVrNHwruOSivvsCLFkG/fj5qtmsHY8fCL3+ZtpcvKoKpU3c+WB55ZOIHT6XJJCgK7jkgL0fHfP013HwzjBgBe+8NDzzgS/LWTf+fdMWDZW0OnspzS1AU3CMubKf9Gecc/OMfcNVVsG4dXHghDB4MTZsG3bJK5WWaTEJBwT3i8uq0f+5cv8zdO+/AccfBxInEdnRg2iO1D5zZPNvJqzSZhIaCe8TlxWn/pk1+FMzDD/ulhx59FP70J2Lv1UnqrCXvznYkL2koZMSFfXhbSsMAS0pg1Ci/zN3DD/uyvMuWwZ//DHXqJD11X0vQST5Qzz0HhPW0v7oeco1pkXff9cF8zhw48US/hulRR+30vGTPWvLibEfynoK7ZExV1wOqTYt8+SVcey088QTsvz+MGwc9eoBZpc9L5mKlLnJKPlBwl4ypqodcadDvsMMPZ7zpJti6Fa6+2ufZf/KTH16vsucNGJBccA7r2Y5Iuii4S8ZU1UOuGPTP2GcaHNMXFi6E007zY9cPO2yX14tyOiUv5yJIoLTMngQiFoM5E1bTY85VNJnyNBx4IAwbBmeeCWbVPi+sQbKqtml0jmSKltmTcNm2jaJ/DaXo/tt8jmXgQL+Waf36NT41rOmU6gJ4Xs1FkNDQUEjJrkmTfHGWAQN8tcZFi2DQoIQCe5hVN7wyCpU6w1K5UtJHPXf5QUZTHitXwpVXwoQJfmm7116Drl3D0bY0qO56QNhH5yhtlJsU3AVI7AueVID97ju48064805K6tRl+q+GUH/AFXQ8qV7CbRs1Ci69FEpLoV69cAafmgJ4WNNJoLRRrlJwF6DmL3ite3fOwT//6Xvrq1ax4dTf0/Htu/lkSnN2n167UgGXXQY7dvjb27aFN/iEOYBXJ8qjkKRqKeXczayBmT1vZkvMbLGZFZlZIzObbGYfx382TFdjJXOqywvHYj4tvm1bglP2ly71KZff/taPU586lb+fPI5PtjdPqlRAScmPt+vUyUzwyeecc9hLWEhyUu25DwcmOefONrPdgT2B64A3nXNDzOxa4FrgmhTfRzKsqrRCWY992zafFqlTp5re3X/+A7fdBkOH+gukw4fDJZdA3bp0qpd8qYB69fz7FxTA/fenP/go5xzdsw6pWtLB3cz2BU4E/gTgnCsGis3sTKBT/GGjgWkouEdCZV/wsnRNWWA/5RTfi9/pcc7BU0/5Guuffw4XXOC7wfvtt9Nrh7VUgHLOkotS6bkfBKwHHjezdsAc4HJgP+fc2vhjvgD2q+L5EgEV87G7BPb58/m6V1/2mTedb9ocy97jx0PHjru8TiqjXTLdq1TOWXJRKsG9LtAe6Ouce8/MhuNTMD9wzjkzq3QKrJn1AfoAtGzZMoVmSCZV2XPevBluugn3wAMUlzbkIhvF2E/+zGRXQMU4HPa0R3VnB2EfgilSlVSC+2pgtXPuvfjt5/HB/Usza+acW2tmzYB1lT3ZOTcKGAW+/EAK7ZAM26nnXFrqKzZeey1s3MgHHS6m6/u3sqG0EQXbK09pJJP2yHZQrezsIOwHJZHqJD1axjn3BfCZmZVVeOoCLAJeAnrFt/UCJqTUQgmP99/30a13b7+Axpw5FA99gG/rNap29mVtZ2iWBdUbb/Q/gxrBokU9JMpSHS3TFxgbHymzArgAf8B41sx6A6uAc1N8Dwna+vVw3XV+ebv99oMnn4TzzgMziqj5gmdtL4qOGQPff++v0wZ5gVO5eIkyVYWUqu3Y4Ze3u+EG+OYbuPxyX299n30y9paxGJx8sh/6CD6opiu4J5PqUc5dwkxVIaX2ZszwU0M//NDnRkaMgMMP3+khmQh806b9OBvVzC+Xmq7Ankz+XOO/JaoU3GVnn3/uV0EaOxYOOACeew66d9+lxnqmLjZWTIX07Jn6a4LGskv+UcnfHJfwtPriYrjnHr8C0nPP+VTM4sVw9tmVLp6RqYuNmZoKH4WyuyLppJ57Dku4dz15MvTrB0uWQLduzO05lEnLD6HT/KqDayYvNmYiFRL2srsi6abgnsNqTEWsWgV/+QuMHw8/+xlMnEiscbeEDghhCZa1yfsrfy75RME9h1XZu/7+e7j7bp+vARg8GPr3hz32YNodieemgw6WmmQkUjUF9xy2S++6o4OJL8MVV8CKFXDOOT7PXq78Q7rSLdkYQqiLpCJVU3BPQJTHOv/Qu/74Y+h2Bbz6Kvz85zBliu/2VvL4VNMt2epRa5KRSNUU3GsQ+VP/b7/1aZd77/WF0e+9F/r2hd12q/IpqaZbstWjDkveXySMFNxrENVT/9hMxxcjn+PXb/2FeutW+wHjQ4ZAs2Y/PiZDZySZ7FFXbHPQeX+RsFJwr0EUT/3njf2IbT378pvSqXxoR1Pw0NO0vej4nR6TyTOSTPWoI38WJZJFmsRUg0itL7llC/Tvz1E923FU6Tz+jwfpYLOZuOn4XR6a6YqHRUUwYEB6Py9VaRRJnHruCQj9qX9pqa/UeM01sG4d68/4XwpfH8za7U1qLMMbxBlJsumgKJ5FiQRFwT3qPvjAF/iKxfzydq+8wn7HHsuzNQTQoC5GppJa0QVUkcQpuEfELr3djRt9/ZeHH4amTVl+/eM8V78nnYrrUERiZxtBnJGkeoE69GdRIiGh4B4B5Xu7e+xWwvy+f+fgR6/3OfZ+/Zj160F0OquB7w0PDve1AaVWRLJDF1QjoKy326EkxvTvO3Dw3f8HRx4J8+bBsGG8OadBZC40RuoCtUiEqeceAace+QUtuJY/Mpo1NGfZLU/T+oZzfyjFG7XesFIrIpmn4B5m27fDAw9QOHAg7W0rM0+6loIbr+cXXfbe6WH5fqExyuUhRDJFwT2spk71ZQI++gi6dqXO8OH8v9atq3x4vvaGNbFJpHLKuYfNZ5/B734HnTvDd9/BhAm+2Fc1gT2faWKTSOUU3MNi2zZfX71NG3jpJbj5Zt9rP+OMSpe5E0/L54lUTmmZMHj1Vbj8cli+HH7zG7jvPmjVKuhWRUK+X28QqYqCe5BWrPALZ0yc6Bemfv11OO20oFsVOfl6vUGkOkrLBOG77+Cmm+Dww+Gtt+Cuu2D+fAV2EUkb9dyzyTl48UW48kr49FP4wx98YG/ePOmX1DBAEamMgnu2LFkC/frB5Mlw1FG+iuOJJ6b0khoGKCJVUXDPtP/8B265BYYNg732gpEj4eKLoW7qH30YVokqf+ZQ1iadRYgET8E9U5yDcePgqqtg7Vro3Rtuvx1++tO0vUXQZQfKnznUret3uaREZxEiYaDgngkffuhrrM+YAR06wD//Cccdl/a3CXoYYPkzh9JSv825aK01K5KrFNzT6auv4MYb4W9/g0aN4JFH4IILoE7mBiUFOQyw/JlDxZ67JhOJBEvBPR1KS+Gxx/yioZs2wSWX+Dx7w4ZBtyyjKp45gHLuImGh4J6qWbN8Cub99+GEE+D++6Fdu6BblTUVzxwU1EXCQZOYkrVuHVx4IfziF7B6NfzjHzB9el4FdhEJLwX32tqxww9nbN0aRo/2o2GWLoXzzlOBLxEJDaVlamP6dJ+CWbAATjnFB/k2bYJuVVI0s1Uktym4J+Lzz30Pfdw4aNkSxo/31Rsj2lPXzFaR3JdyWsbMCsxsrpm9HL99kJm9Z2bLzewZM9s99WYGpLgY7r7bV2wcP94X+1q8GH7728gGdtACFyL5IB0598uBxeVu3wkMdc4dAnwF9E7De2TfG2/4GjBXX+1XRVq0yC+gseeeQbcsZVrgQiT3pRTczawF8N/AI/HbBnQGno8/ZDRwVirvkXWffOJ75r/6le/avvKKX+ru4IODblnalI1Pv/VWpWREclWqOfdhwNXAT+K3GwObnXM74rdXA5XWszWzPkAfgJYtW6bYjDTYutWnYO64w88ovf126N8f6tULumUZoQUuRHJb0j13M+sGrHPOzUnm+c65Uc65QudcYdOmTZNtRuqc8z3zww+HgQP9mqVLlvjZpjka2EUk96XScz8eOMPMfg3sAewDDAcamFndeO+9BbAm9WZmyLJlfu3SSZPgiCP8qkgnnxx0q0REUpZ0z905N8A518I51wroAbzlnDsPmAqcHX9YL2BCyq1Mt2++8T3ztm1h5kwYOhTmzlVgF5GckYkZqtcA/c1sOT4H/2gG3iM5zsEzz/iJR0OG+GXuli71i1TvtlvQrRMRSZu0TGJyzk0DpsV/XwGkv3h5qhYuhL59/aDu9u3hued0RVFEclbu15bZvNn3zI8+GubPh4ce8pUcFdhFJIflbvmB0lIYMwauuQbWr4eLLoLbboPGjYNumYhIxuVmcJ8zxxf4evdd30N/7TWfihERyRO5lZbZsMH30Dt0gJUrfUneGTMU2EUk7+RGcC8p8euWtm4Njz7qc+xLl0LPnhldv1REJKyin5Z55x2fgpk3z49THznST0gSEclj0e7WPvmkX7d0wwY/fv3NNxXYRUSIenDv1g0GDfK1YM49N9I11kVE0inaaZmGDX2xLxER2Um0e+4iIlIpBXcRkRyk4B5hsZhfWyQWC7olIhI20c6557FYDLp08Qtc7767lssTkZ2p5x5R06b5wF5S4n9OmxZ0i0QkTBTcI6pTJ99jLyjwPzt1CrpFIhImSstEVFGRT8VMm+YDu1IyIlKegnuEFRUpqItI5ZSWERHJQQruIiI5SMFdRCQHKbiLiOQgBXcRkRyk4C4ikoPMORd0GzCz9cCqJJ/eBNiQxuYESfsSTrmyL7myH6B9KXOgc65pZXeEIrinwsxmO+cKg25HOmhfwilX9iVX9gO0L4lQWkZEJAcpuIuI5KBcCO6jgm5AGmlfwilX9iVX9gO0LzWKfM5dRER2lQs9dxERqUDBXUQkB0UquJvZAWY21cwWmdlHZnZ5fHsjM5tsZh/HfzYMuq01MbM9zGyWmX0Y35eb49sPMrP3zGy5mT1jZrsH3dZEmFmBmc01s5fjt6O6H5+Y2QIzm2dms+PbIvf3BWBmDczseTNbYmaLzawoivtiZofF/z/K/n1tZldEdF+ujH/fF5rZU/E4kJHvSqSCO7AD+Itz7nCgI3CpmR0OXAu86Zw7FHgzfjvstgGdnXPtgKOBrmbWEbgTGOqcOwT4CugdXBNr5XJgcbnbUd0PgJOdc0eXG3scxb8vgOHAJOdcG6Ad/v8ncvvinFsa//84GjgW+A54kYjti5k1B/oBhc65tkAB0INMfVecc5H9B0wATgWWAs3i25oBS4NuWy33Y0/gA+AX+JlqdePbi4DXg25fAu1vgf9ydQZeBiyK+xFv6ydAkwrbIvf3BewLrCQ+aCLK+1Kh/acB70RxX4DmwGdAI/xCSS8Dv8rUdyVqPfcfmFkr4BjgPWA/59za+F1fAPsF1a7aiKcy5gHrgMnAv4HNzrkd8Yesxv9BhN0w4GqgNH67MdHcDwAHvGFmc8ysT3xbFP++DgLWA4/H02WPmNleRHNfyusBPBX/PVL74pxbA9wDfAqsBbYAc8jQdyWSwd3M9gbGA1c4574uf5/zh79IjO90zpU4f6rZAjgOaBNsi2rPzLoB65xzc4JuS5qc4JxrD5yOT/udWP7OCP191QXaA39zzh0DfEuFtEWE9gWAeC76DOC5ivdFYV/i1wTOxB949wf2Arpm6v0iF9zNbDd8YB/rnHshvvlLM2sWv78ZviccGc65zcBU/ClZAzMrW9u2BbAmqHYl6HjgDDP7BHgan5oZTvT2A/ihd4Vzbh0+r3sc0fz7Wg2sds69F7/9PD7YR3FfypwOfOCc+zJ+O2r7cgqw0jm33jm3HXgB//3JyHclUsHdzAx4FFjsnLuv3F0vAb3iv/fC5+JDzcyamlmD+O/18dcOFuOD/Nnxh4V+X5xzA5xzLZxzrfCnzG85584jYvsBYGZ7mdlPyn7H53cXEsG/L+fcF8BnZnZYfFMXYBER3Jdyfs+PKRmI3r58CnQ0sz3jsazs/yQj35VIzVA1sxOAt4EF/JjfvQ6fd38WaIkvHXyuc25TII1MkJkdBYzGXzGvAzzrnLvFzA7G94AbAXOB851z24JraeLMrBPwV+dctyjuR7zNL8Zv1gXGOecGm1ljIvb3BWBmRwOPALsDK4ALiP+tEb192QsfHA92zm2Jb4vc/0t8yPPv8CP/5gIX4nPsaf+uRCq4i4hIYiKVlhERkcQouIuI5CAFdxGRHKTgLiKSgxTcRURykIK7iEgOUnAXEclB/x8duQV8r/i9igAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画图\n",
    "x_test = np.array([[20],[80]])\n",
    "y_test = ws[0] + x_test*ws[1]\n",
    "plt.plot(x_data,y_data,'b.')\n",
    "plt.plot(x_test,y_test,'r')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
